[−][src]Trait mathru::special::beta::Beta

pub trait Beta {
    pub fn beta(self, y: Self) -> Self;

    pub fn beta_inc(self, a: Self, b: Self) -> Self;

    pub fn beta_inc_reg(self, a: Self, b: Self) -> Self;
}

Provides beta, also called the Euler integral of the first kind related functions

Required methods

pub fn beta(self, y: Self) -> Self[src]

Beta function

\Beta(x,y) = \int_0^1 t^{x-1}(1-t)^{y-1}\,dt

Fore more information: Wikipedia Beta function

Arguments

  • self > 0.0
  • y > 0.0

Panics

Panics if the parameter conditions are not fulfilled.

Example

use mathru::special::beta::Beta;

let x: f64 = 0.3_f64;
let y: f64 = 0.6_f64;

let beta: f64 = x.beta(y);

pub fn beta_inc(self, a: Self, b: Self) -> Self[src]

Incomplete beta function

\Beta(x;\,a,b) = \int_0^x t^{a-1}\,(1-t)^{b-1}\,dt

Fore more information: Wikipedia Beta function

Arguments

  • self
  • a > 0.0
  • b > 0.0

Panics

Panics if the parameter conditions are not fulfilled.

Example

use mathru::special::beta::Beta;

let x: f64 = 0.3_f64;
let a: f64 = 0.6_f64;
let b: f64 = 0.7_f64;

let beta: f64 = x.beta_inc(a, b);

pub fn beta_inc_reg(self, a: Self, b: Self) -> Self[src]

Incomplete regularized beta function

I_x(a,b) = \frac{\Beta(x;\,a,b)}{\Beta(a,b)}

Fore more information: Wikipedia Beta function

Arguments

  • 0.0 < self < 1.0,
  • a > 0.0
  • b > 0.0

Panics

Panics if the parameter conditions are not fulfilled.

Example

use mathru::special::beta::Beta;

let a: f64 = 0.3_f64;
let b: f64 = 0.6_f64;
let x: f64 = 0.2_f64;

let beta: f64 = x.beta_inc_reg(a, b);
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Implementations on Foreign Types

impl Beta for f32[src]

pub fn beta_inc_reg(self, a: Self, b: Self) -> Self[src]

The code from the following C code was ported to Rust C implementation

impl Beta for f64[src]

pub fn beta_inc_reg(self, a: Self, b: Self) -> Self[src]

The code from the following C code was ported to Rust C implementation

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Implementors

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